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Alex787 [66]
2 years ago
8

X/13 - 1 = 5x/2 + 1/2please answer the question pls pls pls pls ​

Mathematics
2 answers:
Morgarella [4.7K]2 years ago
8 0

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

<u>the </u><u>given </u><u>expression</u><u> </u><u>can </u><u>be </u><u>solved </u><u>as </u><u>follows </u><u>~</u>

\frac{x}{13}  - 1 =  \frac{5x}{2}  +  \frac{1}{2}  \\

<u>taking </u><u>LCM </u><u>both </u><u>the </u><u>sides </u><u>,</u>

\frac{x - 13}{13}  =  \frac{5x + 1}{2}  \\

<u>on </u><u>cross </u><u>multiplying </u><u>,</u>

(x - 13)2 = (5x + 1)13 \\  \\ \implies \: 2x - 26 = 65x + 13

<u>let's</u><u> </u><u>now </u><u>gather </u><u>the </u><u>like </u><u>terms </u><u>at </u><u>either </u><u>sides </u><u>of </u><u>the </u><u>equation</u><u> </u><u>~</u>

65x - 2x =  - 26 - 13 \\  \\ \implies \: 63x =  - 39 \\  \\ \implies \: x =  \frac{\cancel{ - 39}}{\cancel{63}}

<u>on </u><u>simplifying </u><u>the </u><u>equation</u><u> </u><u>,</u>

\implies \frac{-13}{21}\\

hope helpful ~

abruzzese [7]2 years ago
5 0
X = -13/21. i used algebra to solve this. it’s too long to type out unless you want an explanation
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